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NARA [144]
3 years ago
12

At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose i

s used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer: 12 minutes

Step-by-step explanation:

This is a standard Work Formula question (2 or more 'entities' that work on a task together). When there are just 2 entities and there are no 'twists' to the question, we can use the Work Formula to get to the correct answer.

Work = (A)(B)/(A+B) where A and B are the individual times needed to complete the task.

We're told that two hoses take 20 minutes and 30 minutes, respectively, to fill a pool. We're asked how long it takes the two hoses, working together, to fill the pool.

(20)(30)/(20+30) = 600/50 = 12 minutes to fill the pool.

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On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?
bonufazy [111]

Answer:

Birds F_b=14.3\%

Gerbils F_g=42.9\%

Fish F_f=21.4\%

Hamsters F_h=21.4\%

Step-by-step explanation:

From the question we are told that:

Sales

Number of birds  n_b=2

Number of gerbils  n_g=6

Number of fish  n_f=3

Number of hamsters  n_h=3  

Generally the frequency for birds F_b is mathematically given b

F_b=\frac{n_b}{n}*100

F_b=\frac{2}{14}*100

F_b=14.3\%

Generally the frequency for Gerbils F_g is mathematically given b

F_g=\frac{n_g}{n}*100

F_g=\frac{6}{14}*100

F_g=42.9\%

Generally the frequency for fish F_f is mathematically given b

F_f=\frac{n_f}{n}*100

F_f=\frac{3}{14}*100

F_f=21.4\%

Generally the frequency for fish F_h is mathematically given b

F_h=\frac{n_h}{n}*100

F_h=\frac{3}{14}*100

F_h=21.4\%

5 0
3 years ago
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3 years ago
A rectangle is twice as long as it is wide. If its area is 50 sq. yd., find the length.
sertanlavr [38]
A = L * W
A = 50
L = 2W

50 = W(2W)
50 = 2W^2
50/2 = W^2
25 = W^2
sqrt 25 = W
5 = W

L = 2W
L = 2(5)
L = 10 <==length is 10 yd
5 0
3 years ago
I'll give u full brainlist if u do this!
alex41 [277]

Answer:

a. 54.75

b. 2.64

Step-by-step explanation:

6 0
3 years ago
3(x-6) + 4 + 5x - 6<br><br> (use distributive property)<br><br> please help asap!
Dmitry_Shevchenko [17]

Answer:

8x - 20

Step-by-step explanation:

3(x - 6) + 4 + 5x - 6         \longmapsto       Distribute 3 to (x - 6)

3(x) - 3(6) + 4 + 5x - 6

3x - 18 + 4 + 5x - 6

Simplify:

3x + 5x - 18 + 4 - 6

8x -18 - 2

8x - 20

-Chetan K

3 0
3 years ago
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